This talk presents “partition theoretic” analogs of the classical work of Matiyasevich that resolved Hilbert’s Tenth Problem in the negative. The Diophantine equations we consider involve equations of...
We are concerned with a generalization to the singular case of a result of C.C. Chen e C.S. Lin [Comm. An. Geom. 1998] for Liouville-type equations with rough potentials. The singular problem is actua...
We plan to survey the shock wave theory for hyperbolic conservation laws in one spatial dimension. There is the Glimm existence theory, Glimm-Lax decay theory and subsequent works on solution behavior...
In this talk I will present some recent results concerning modelling and simulations of collective behaviors emerging in pedestrian dynamics. Starting from the '70s, a great variety of models have bee...
It is known by the works of Adamović and Perše that the affine simple vertex algebras associated with G2 and B3 at level -2 can be conformally embedded into \( L_{-2}(D4). \) In this talk, I will pre...
In this talk we introduce a geometric refinement of Gromov-Witten invariants for P1-bundles relative to the natural fiberwise boundary structure. We call these refined invariants correlated Gromov-Wit...
We will introduce a singular-regular decomposition of the Green’s function for a linearized Boltzmann equation and based on this decomposition one can decomposed the solution of the Boltzmann equation...
The aim of this course is to present some recent advances in the theory of stable sheaves on higher dimensional varieties, in particular Fano and hyper-Kähler manifolds. We will start by reviewing the...
In this seminar we will illustrate a work in collaboration with Ariela Briani and Hitoshi Ishii that extents the well known result on thin domains of Hale and Raugel. The test function approach of C. ...
Let us consider a complex abelian scheme endowed with a non-torsion section. On some suitable open subsets of the base it is possible to define the period map, i.e. a holomorphic map which marks a bas...
